A spherical water tank is 100cm in diameter. It is half filled with water. How many cubic centimetre is the water in the tank?

User Icon for Reiny Reiny answered
8 years ago

r = 50

volume of full tank = (4/3)Ï€(50)^3
= ...

so half of that is .....

User Icon for Zuby Zuby answered
4 years ago

904 320

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the volume of the water in the tank, we need to calculate the volume of a hemisphere, as the tank is filled halfway.

The formula to calculate the volume of a hemisphere is:
V = (2/3) * π * r³

First, let's find the radius of the spherical tank by dividing the diameter by 2:
radius = diameter / 2 = 100cm / 2 = 50cm

Now, substitute the radius value into the volume formula:
V = (2/3) * π * 50³

To get the final answer, calculate the value:
V = (2/3) * 3.14 * 50 * 50 * 50
= (2/3) * 3.14 * 125000
= 2.094 * 125000
= 261500 cubic centimeters

Therefore, the water in the tank has a volume of 261500 cubic centimeters.